Advanced search
Publication Cover
Communications in Algebra Volume 41, 2013 - Issue 4
Submit an article Journal homepage
129
Views
2
CrossRef citations to date
0
Altmetric
Original Articles

Computing the ℤ2-Cocharacter of 3 × 3 Matrices of Odd Degree

Stefania Aqué Dipartimento di Matematica e Informatica, Università di Palermo, Palermo, ItalyCorrespondence[email protected]
Pages 1405-1416 | Received 29 Jul 2011, Published online: 02 Apr 2013
 
Sample our Mathematics & Statistics journals, sign in here to start your FREE access for 14 days

Abstract

Let F be a field of characteristic 0 and A = M 2, 1(F) the algebra of 3 × 3 matrices over F endowed with the only non trivial ℤ2-grading. Aver'yanov in [Citation1] determined a set of generators for the T 2-ideal of graded identities of A. Here we study the identities in variables of homogeneous degree 1 via the representation theory of the symmetric group, and we determine the decomposition of the corresponding character into irreducibles.

2010 Mathematics Subject Classification:

Notes

Communicated by S. Sehgal.

Log in via your institution

Access through your institution

Log in to Taylor & Francis Online

Restore content access

Restore content access for purchases made as guest
Purchase options * Save for later

PDF download + Online access

  • 48 hours access to article PDF & online version
  • Article PDF can be downloaded
  • Article PDF can be printed
USD 61.00 Add to cart

Issue Purchase

  • 30 days online access to complete issue
  • Article PDFs can be downloaded
  • Article PDFs can be printed
USD 1,187.00 Add to cart

* Local tax will be added as applicable

Related Research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.